What is the Greatest Common Factor of 37247 and 37264?

Greatest common factor (GCF) of 37247 and 37264 is 17.

GCF(37247,37264) = 17

We will now calculate the prime factors of 37247 and 37264, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 37247 and 37264.

How to find the GCF of 37247 and 37264?

We will first find the prime factorization of 37247 and 37264. After we will calculate the factors of 37247 and 37264 and find the biggest common factor number .

Step-1: Prime Factorization of 37247

Prime factors of 37247 are 7, 17, 313. Prime factorization of 37247 in exponential form is:

37247 = 7¹ × 17¹ × 313¹

Step-2: Prime Factorization of 37264

Prime factors of 37264 are 2, 17, 137. Prime factorization of 37264 in exponential form is:

37264 = 2⁴ × 17¹ × 137¹

Step-3: Factors of 37247

List of positive integer factors of 37247 that divides 37247 without a remainder.

1, 7, 17, 119, 313, 2191, 5321

Step-4: Factors of 37264

List of positive integer factors of 37264 that divides 37247 without a remainder.

1, 2, 4, 8, 16, 17, 34, 68, 136, 137, 272, 274, 548, 1096, 2192, 2329, 4658, 9316, 18632

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 37247 and 37264. The biggest common factor number is the GCF number.
So the greatest common factor 37247 and 37264 is 17.

Also check out the Least Common Multiple of 37247 and 37264